English Medium कक्षा १० - CBSE Question Bank Solutions

If two zeroes of the polynomial x³ + x² − 9x − 9 are 3 and −3, then its third zero is

If \[\sqrt{5}\ \text{and} - \sqrt{5}\]   are two zeroes of the polynomial x³ + 3x² − 5x − 15, then its third zero is

If x + 2 is a factor of x² + ax + 2b and a + b = 4, then

The polynomial which when divided by −x² + x − 1 gives a quotient x − 2 and remainder 3, is

Define an identity.

What is the value of (1 − cos² θ) cosec² θ? 

What is the value of (1 + cot² θ) sin² θ?

What is the value of \[\sin^2 \theta + \frac{1}{1 + \tan^2 \theta}\]

If sec θ + tan θ = x, write the value of sec θ − tan θ in terms of x.

If cosec θ − cot θ = α, write the value of cosec θ + cot θ.

Write the value of cosec² (90° − θ) − tan² θ. 

Write the value of sin A cos (90° − A) + cos A sin (90° − A).

Write the value of \[\cot^2 \theta - \frac{1}{\sin^2 \theta}\] 

If x = a sin θ and y = b cos θ, what is the value of b²x² + a²y²?

If \[\sin \theta = \frac{4}{5}\] what is the value of cotθ + cosecθ? 

What is the value of 9cot² θ − 9cosec² θ? 

What is the value of \[6 \tan^2 \theta - \frac{6}{\cos^2 \theta}\]

What is the value of \[\frac{\tan^2 \theta - \sec^2 \theta}{\cot^2 \theta - {cosec}^2 \theta}\]

What is the value of (1 + tan² θ) (1 − sin θ) (1 + sin θ)?